104242320 has 480 divisors, whose sum is σ = 452804352. Its totient is φ = 20901888.

The previous prime is 104242309. The next prime is 104242343. The reversal of 104242320 is 23242401.

104242320 is a `hidden beast` number, since 10 + 424 + 232 + 0 = 666.

It is a super-2 number, since 2×104242320² = 21732922557964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104242293 and 104242302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2424219 + ... + 2424261.

Almost surely, 2^104242320 is an apocalyptic number.

104242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

104242320 is an abundant number, since it is smaller than the sum of its proper divisors (348562032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104242320 is a wasteful number, since it uses less digits than its factorization.

104242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104242320 is about 10209.9128301862. The cubic root of 104242320 is about 470.6318948954.

Adding to 104242320 its reverse (23242401), we get a palindrome (127484721).

The spelling of 104242320 in words is "one hundred four million, two hundred forty-two thousand, three hundred twenty".